48866400 has 216 divisors, whose sum is σ = 188284824. Its totient is φ = 11827200.

The previous prime is 48866399. The next prime is 48866431. The reversal of 48866400 is 466884.

48866400 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78892 + ... + 79508.

It is an arithmetic number, because the mean of its divisors is an integer number (871689).

Almost surely, 2^48866400 is an apocalyptic number.

48866400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94142412).

48866400 is an abundant number, since it is smaller than the sum of its proper divisors (139418424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48866400 is a wasteful number, since it uses less digits than its factorization.

48866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48866400 is about 6990.4506292513. The cubic root of 48866400 is about 365.5976946516.

The spelling of 48866400 in words is "forty-eight million, eight hundred sixty-six thousand, four hundred".